Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
724147 | IFAC Proceedings Volumes | 2006 | 6 Pages |
Abstract
This paper surveys some recent results about chaos induced by coupled-expanding maps. First, three typical definitions of chaos given by Li-Yorke, Devaney, and Wiggins, respectively, are introduced and compared. Then, several criteria of chaos induced by strictly coupled-expanding maps in compact sets of metric spaces and in noncompact sets of complete metric spaces, respectively, are presented. Finally, some examples are provided for illustration.
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